What is the vertex of this quadratic function?

h (x) = - 5 (x + 7) 2 + 11

(-7,11)

Step-by-step explanation:

This form is called vertex or transformational form. It is very easy to identify the vertex from this form. This form is describing the transformations that took place from the original equation, y = x^2 from the vertex at the origin.

The function's vertex has been shifted up 11 units, making that the y value in the vertex.

The function's vertex has been shifted 7 units to the left, making - 7 the x value of the vertex.

That makes the vertex (-7,11).

The function has also gone through a vertical stretch by a factor of 5 and reflected across the x-axis.